Solve by Graphing x+y=3 x-4y=8

$x + y = 3$ $x - 4 y = 8$

Step 1

Subtract $x$ from both sides of the equation.

$y = 3 - x$

$x - 4 y = 8$

Step 2

Subtract $x$ from both sides of the equation.

$- 4 y = 8 - x$

$y = 3 - x$

Step 3

Divide each term in $- 4 y = 8 - x$ by $- 4$ and simplify.

Divide each term in $- 4 y = 8 - x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{8}{- 4} + \frac{- x}{- 4}$

$y = 3 - x$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{8}{- 4} + \frac{- x}{- 4}$

$y = 3 - x$

Divide $y$ by $1$ .

$y = \frac{8}{- 4} + \frac{- x}{- 4}$

$y = 3 - x$

$y = \frac{8}{- 4} + \frac{- x}{- 4}$

$y = 3 - x$

$y = \frac{8}{- 4} + \frac{- x}{- 4}$

$y = 3 - x$

Simplify the right side.

Simplify each term.

Divide $8$ by $- 4$ .

$y = - 2 + \frac{- x}{- 4}$

$y = 3 - x$

Dividing two negative values results in a positive value.

$y = - 2 + \frac{x}{4}$

$y = 3 - x$

$y = - 2 + \frac{x}{4}$

$y = 3 - x$

$y = - 2 + \frac{x}{4}$

$y = 3 - x$

$y = - 2 + \frac{x}{4}$

$y = 3 - x$

Step 4

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

$(4, - 1)$

Step 5